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3 years ago

13

Kong took 15\%, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 85 seconds. How many

seconds did Nolan take?

1 answer:

andreev551 [17]3 years ago

6 0

Answer:

Nolan took 97.75 seconds. you may need to round it to 98.

Step-by-step explanation:

multiply 15% by 85 which equals 12.75 then add to 85

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For the right triangle shown, the lengths of two sides are given. find the third side. leave your answer in simplified, radical

Citrus2011 [14]

There is no diagram

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3 years ago

How do you find the radius of a cylinder when you only know the surface area?

Paha777 [63]

The surface area of a cylinder with circular bases of radius <em>r</em> and height <em>h</em> is equal to the sum of the areas of the two circular faces and the area of the rectangular lateral surface:

<em>A</em> = 2π<em>r</em>² + 2π<em>rh</em>

If you know the height <em>h</em>, then you can solve the quadratic equation for <em>r</em>.

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3 years ago

Assume that women's heights are normally distributed with a mean given by mu equals 62.5 in,and a standard deviation given by

Misha Larkins [42]

Answer:

(a) 0.5899

(b) 0.9166

Step-by-step explanation:

Let X be the random variable that represents the height of a woman. Then, X is normally distributed with

$\mu$ = 62.5 in

$\sigma$ = 2.2 in

the normal probability density function is given by

$f(x) = \frac{1}{\sqrt{2\pi}2.2}\exp{-\frac{(x-62.5)^{2}}{2(2.2)^{2}}}$ , then

(a) $P(X < 63) = \int\limits_{-\infty}^{63}f(x) dx$ = 0.5899

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)

(b) We are seeking $P(\bar{X} < 63)$ where n = 37. $\bar{X}$ is normally distributed with mean 62.5 in and standard deviation $2.2/\sqrt{37}$ . So, the probability density function is given by

$g(x) = \frac{1}{\sqrt{2\pi}\frac{2.2}{\sqrt{37}}}\exp{-\frac{(x-62.5)^{2}}{2(2.2/\sqrt{37})^{2}}}$ , and

$P(\bar{X} < 63) = \int\limits_{-\infty}^{63}g(x)dx$ = 0.9166

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You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.

4 0

3 years ago

Alberta has 5 shirts and 4 pants. 3 of the shirts are her favorite and 2 of the pants are her favorite. If Alberta chooses an ou

tiny-mole [99]

Answer:

$\frac{3}{10}$

Step-by-step explanation:

In probability, "AND" means "multiplication" and

"OR" means "addition".

We want the probability that she picks FAVORITE SHIRT "AND" FAVORITE PANT.

Probability that she picks favorite shirt = 3/5

Probability that she picks favorite pants = 2/4 = 1/2

Since, "AND", we "multiply" both to get:

3/5 * 1/2 = 3/10

5 0

4 years ago

एउटा आयताकार चाउरको परिमिति 1004 m भए सो चउरको

frez [133]

Answer:

502m

Step-by-step explanation:

let x and y represent the length and breadth of rectangular meadow respectively.

Given,

Perimeter of the meadow =1004m

or,2(l+b)=1004m

or2(x+y)=1004m

orx+y=1004m/2

or,x+y=502m

i.e sum of length and breadth

5 0

3 years ago